Rinse clams. Discard any that pop back open when squeezed shut.
In large pot, combine wakame soaking liquid plus enough water to make 1 cup . Add kombu and bring to boil. Add clams. Cover and cook for 5 minutes, or until clams open. Remove clams, pouring off liquid to reserve. Discard kombu.
If using flour-based pasta, cook pasta according to box directions, until al dente.
In same pot used to cook clams, heat remaining 1 Tbsp olive oil over medium heat. Chop basil stems and add to pan with garlic and crumbled red chilies. Cook for 1 minute. Deglaze with 1/2 cup clam cooking liquid. Add chopped tomatoes. Cook for 2 minutes. Add drained noodles or pasta and stir to coat.
Remove from heat and stir in pesto. Return clams to pot (shelled or unshelled) and serve immediately.
Notes
Per serving made with kelp noodles: 197 calories; 9 g protein; 10 g total fat (1 g sat. fat); 19 g total carbohydrates (8 g sugars, 9 g fiber); 363 mg sodium